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Finding the Fourth Proportional to 219,585.16, 302,831.94 and 171,199

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Solution

The fourth proportional to 219,585.16, 302,831.94 and 171,199 is: 236,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,585.16 : 302,831.94 = 171,199 : x
  2. Step 2: Convert to fraction form
    219,585.16/302,831.94 = 171,199/x
  3. Step 3: Cross multiply
    219,585.16x = 302,831.94 × 171,199
  4. Step 4: Simplify right side
    219,585.16x = 51,844,525,296.06
  5. Step 5: Solve for x
    x = 51,844,525,296.06/219,585.16
  6. Step 6: Final answer
    x = 236,102.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.